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Finding the Fourth Proportional to 14,386.50, 19,854.18 and 8,099.28

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Solution

The fourth proportional to 14,386.50, 19,854.18 and 8,099.28 is: 11,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,386.50 : 19,854.18 = 8,099.28 : x
  2. Step 2: Convert to fraction form
    14,386.50/19,854.18 = 8,099.28/x
  3. Step 3: Cross multiply
    14,386.50x = 19,854.18 × 8,099.28
  4. Step 4: Simplify right side
    14,386.50x = 160,804,562.99
  5. Step 5: Solve for x
    x = 160,804,562.99/14,386.50
  6. Step 6: Final answer
    x = 11,177.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.